Yeah its possible. Spyware/keystroke logging programs etc are easily capable of grabbing data from right under your nose. Its one of those things that you only think happens to other people... until it happens to you. Credit cards are very easily cloned these days.
I'm sure your credit card company insures against such things so you shouldn't lose out in the long run.
I'm sure your credit card company insures against such things so you shouldn't lose out in the long run.